homework
The German word for homework is 'Hausaufgabe'. It is used in the same context as in English, to refer to tasks assigned to students to be completed outside of class time. The word is a compound of 'Haus' (house) and 'Aufgabe' (task), literally meaning 'home task'.
I have to do my homework
This sentence is a common expression used when one is discussing tasks assigned by school that must be completed at home. 'Ich' is the German pronoun for 'I', 'muss' is the first person form of the verb 'müssen', which means 'to have to', 'meine' is the possessive adjective for 'my', and 'Hausaufgabe' means 'homework'. 'Machen' is the verb 'to do'.
The homework is very difficult
In this sentence, 'Die Hausaufgabe' refers to 'The homework', 'ist' is the German verb for 'is', 'sehr' translates to 'very', and 'schwierig' translates to 'difficult'. This is a straightforward statement commonly used to express a personal opinion about the complexity of an assigned task.
Have you finished the homework?
This sentence is a question about whether the homework has been completed. 'Hast du' translates to 'Have you', 'die Hausaufgabe' refers to 'the homework', and 'beendet' translates to 'finished'. This is generally asked by a person (like a teacher or a peer) to know if the homework task is complete.